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Abstract
The problem of solving the Lorenz equation is considered. Firstly，a set of homotopic mapping is constructed. Then the initial approximate solution is determined. Finally，using the homotopic mapping，the approximation for corresponding model is found. The homotopic mapping method is an analytic method，the obtained solution can be used in analytic operations subsequently.

Keywords:
Lorenz equation/

homotopic mapping/

approximate solution/

El Nio and La Nio phenomena
Authors and contacts
Mo Jia-Qi¹,

Lin Wan-Tao²
References

Cited By

[1]	Lin Wan-Tao, Lin Yi-Hua, Shi Lan-Fang, Mo Jia-Qi.Vibrating approximate solution for a class of El Nino-southern coupled oscillation dynamic model. Acta Physica Sinica, 2013, 62(14): 140202.doi:10.7498/aps.62.140202
[2]	Han Xiang-Lin, Ouyang Cheng, Song Tao, Dai Sun-Sheng.The homotopy analysis method for a class of jamming transition problem in traffic flow. Acta Physica Sinica, 2013, 62(17): 170203.doi:10.7498/aps.62.170203
[3]	Hong Bao-Jian, Lu Dian-Chen.Homotopic approximate solutions for a class of generalized perturbed Kdv-Burgers equation. Acta Physica Sinica, 2013, 62(17): 170202.doi:10.7498/aps.62.170202
[4]	Han Xiang-Lin, Du Zeng-Ji, Mo Jia-Qi.Singular perturbation solution of a class of sea-air oscillator for the El Niño/La Niña-southern oscillation. Acta Physica Sinica, 2012, 61(20): 200208.doi:10.7498/aps.61.200208
[5]	Lin Yi-Hua, Xie Feng, Mo Jia-Qi, Lin Wan-Tao.The solutions for disturbed El Ni o/La Ni a-southern oscillation model. Acta Physica Sinica, 2011, 60(1): 010201.doi:10.7498/aps.60.010201
[6]	Ye Wang-Chuan, Li Biao, Wang Jia.Approximate solution to Sinh-Gordon equation via the homotopy analysis method. Acta Physica Sinica, 2011, 60(3): 030207.doi:10.7498/aps.60.030207
[7]	Zhou Xian-Chun, Lin Wan-Tao, Lin Yi-Hua, Yao Jing-Sun, Mo Jia-Qi.A method of solving a class of disturbed Lorenz system. Acta Physica Sinica, 2011, 60(11): 110207.doi:10.7498/aps.60.110207
[8]	Wu Qin-Kuan.Approximate solution of homotopic mapping for nonlinear vibration problem of transmission line. Acta Physica Sinica, 2011, 60(6): 068802.doi:10.7498/aps.60.068802
[9]	Mo Jia-Qi, Chen Xian-Feng.Approximate solution of solitary wave for a class of generalized nonlinear disturbed dispersive equation. Acta Physica Sinica, 2010, 59(3): 1403-1408.doi:10.7498/aps.59.1403
[10]	Mo Jia-Qi, Lin Yi-Hua, Lin Wan-Tao.Approximate solution of sea-air oscillator for El Ni?o-southern oscillation model. Acta Physica Sinica, 2010, 59(10): 6707-6711.doi:10.7498/aps.59.6707
[11]	Zhou Xian-Chun, Lin Wan-Tao, Lin Yi-Hua, Mo Jia-Qi.Approximation solution of a class of disturbed sea-air coupled oscillator mechanism. Acta Physica Sinica, 2010, 59(4): 2173-2177.doi:10.7498/aps.59.2173
[12]	Shi Lan-Fang, Zhou Xian-Chun.Homotopic mapping solution of soliton for a class of disturbed Burgers equation. Acta Physica Sinica, 2010, 59(5): 2915-2918.doi:10.7498/aps.59.2915
[13]	Shi Lan-Fang, Mo Jia-Qi.Soliton-like homotopic approximate analytic solution for a class of disturbed nonlinear evolution equation. Acta Physica Sinica, 2009, 58(12): 8123-8126.doi:10.7498/aps.58.8123
[14]	Wu Qin-Kuan.The homotopy analysis method for solving a class of combustion models. Acta Physica Sinica, 2008, 57(5): 2654-2657.doi:10.7498/aps.57.2654
[15]	Lin Wan-Tao, Mo Jia-Qi.Approximate analytic solution of a class of atmosphere-ocean coupled oscillator mechanism for globe climate. Acta Physica Sinica, 2008, 57(5): 2633-2637.doi:10.7498/aps.57.2633
[16]	Mo Jia-Qi, Yao Jing-Sun.Homotopic mapping solution of soliton for perturbed KdV equation. Acta Physica Sinica, 2008, 57(12): 7419-7422.doi:10.7498/aps.57.7419
[17]	Cheng Xue-Ping, Lin Ji, Wang Zhi-Ping.Asymptotic solutions of perturbed N-component nonlinear Schr?dinger equations. Acta Physica Sinica, 2007, 56(6): 3031-3038.doi:10.7498/aps.56.3031
[18]	Mo Jia-Qi, Lin Wan-Tao.Approximate solution for a class of atmospheric wading wave equations. Acta Physica Sinica, 2007, 56(7): 3662-3666.doi:10.7498/aps.56.3662
[19]	Mo Jia-Qi, Lin Wan-Tao.Homotopic mapping method of solution for the sea-air oscillator model of decadal variations in subtropical cells and equatorial pacific. Acta Physica Sinica, 2007, 56(10): 5565-5568.doi:10.7498/aps.56.5565
[20]	Mo Jia-Qi, Wang Hui, Lin Yi-Hua.Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation. Acta Physica Sinica, 2005, 54(12): 5581-5584.doi:10.7498/aps.54.5581

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Vol. 57, Issue 11 - 2008-06-05

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